Morton number
In fluid dynamics, the Morton number is a dimensionless number used together with the Eötvös number or Bond number to characterize the shape of bubbles or drops moving in a surrounding fluid or continuous phase, c.
It is named after Rose Morton, who described it with W. L. Haberman in 1953.Definition
The Morton number is defined as
where g is the acceleration of gravity, is the viscosity of the surrounding fluid, the density of the surrounding fluid, the difference in density of the phases, and is the surface tension coefficient. For the case of a bubble with a negligible inner density the Morton number can be simplified toThe Morton number can also be expressed by using a combination of the Weber number, Froude number and Reynolds number,
The Froude number in the above expression is defined as
where V is a reference velocity and d is the equivalent diameter of the drop or bubble.
